How to fill a volume plot of a vector valued functions (with 3 variables)

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Niklas Kurz
Niklas Kurz 2021-6-7
编辑： Niklas Kurz 2021-6-9
Again, I'm ascending new ground, now dealing with volume plots. I'm aware of Matlabs documentary concering this topic. But it doesn't seem to cover my problem. It's about plotting:
where
To the best of my knowldege this function will map a cuboid to . So it should be representable without reducing any dimension. I feel like inconvenient doing this in Matlab, since there doesn't seem to exist some nice functions like mesh or surf for volumes, so I just can't
[u,v,w] = meshgrid(-1:0.1:1);
x = u.^2+u;
y = v.^2+v;
z = z.^2+z;
mesh(x,y,z) %... just defined for surfaces.
Nevertheless Is there some equivalence for volumes?
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Niklas Kurz
Niklas Kurz 2021-6-8
编辑：Niklas Kurz 2021-6-8
Isn't slice made for plotting scalar functions of 4th dimension? I haven't been using isosurface yet, but its plots look like 2-dimensional manifolds. For my purpose you must think about a filled cube, that is being deformed in by the function φ. At least that's how I think about it. Briefly speaking I search for a function like mesh that maps a plane of points in and inderpolates the distance between the resulting mapping. Just for Volumes.

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Matt J
Matt J 2021-6-7
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Niklas Kurz
Niklas Kurz 2021-6-9
编辑：Niklas Kurz 2021-6-9
Yea, that's true: a vector field is a vector valued function, but a vector falued function is not a vector field. Here I'm just given a vector valued function, whose mapped domain I'd like to visulaize (as connected points, like mesh)
Niklas Kurz
Niklas Kurz 2021-6-9
编辑：Niklas Kurz 2021-6-9
probably matlab lecks the ability of doing that, because I haven't seen fully 3D filled objects being plotted yet. Just the outline. So maybe I've to finde a parametrization of the outer surface. What's kinda odd.

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